In a right triangle, sin (40 - x) ° = cos (3x). What is the value of x?

Question

Mathematics

Clarence Johnston

4 February, 23:57

In a right triangle, sin (40 - x) ° = cos (3x). What is the value of x?

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Answers (1)

Know the Answer?

Kaiya Davidson · Answer 1

Value of x = 25

Step-by-Step Explanation:

~ Knowing that, in a right triangle ~

sin (40-x) = cos (3x) ⇒

sin (40-x) = sin (90-3x) ⇒

40 - x = 90 - 3x ⇒

40 - x + 3x=90 - 3x + 3x = >

40+2x=90 = >

2x=50 = >

x = 25

Now it is proven to be that,

x = 25